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Is sigma the same thing as standard deviation?
The lower case sigma character (σ) represents standard deviation.
How do you find deviation mean?
There is no such thing. Maybe your professor meant , Standard Deviation, The Mean. (2 different things.)
What is the sample size for standard deviation?
There is no such thing. The standard error can be calculated for a sample of any size greater than 1.
What is the relationship between Confidence Interval and decreased Standard Deviation?
There is absolutely no relationship to what you've asked. I'm pretty sure you simply framed the question in the wrong way, but to literally answer your question... none. Zero relationship. There's no such thing. There is however a relationship between standard deviation and a CI, but a CI can in no shape way or form influence a standard deviation.
What is the standardizing variables?
There doesn't exist such a thing. What does exist are standardized variables, which are variables with mean = 0 and standard deviation = 1
